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Question Number 214322 by MathematicsExpert last updated on 05/Dec/24
find the errors  7x+4=10x−6  7x+4−10x=10x−6−10x  −3x+4=−6  −3x+4+6=−6+6  −3x+10=0  −3x+10−10=0−10  −3x=−10  x=((−3)/(−10))  x=(3/(10))  if this error show the real one
$$\mathrm{find}\:\mathrm{the}\:\mathrm{errors} \\ $$$$\mathrm{7}{x}+\mathrm{4}=\mathrm{10}{x}−\mathrm{6} \\ $$$$\mathrm{7}{x}+\mathrm{4}−\mathrm{10}{x}=\mathrm{10}{x}−\mathrm{6}−\mathrm{10}{x} \\ $$$$−\mathrm{3}{x}+\mathrm{4}=−\mathrm{6} \\ $$$$−\mathrm{3}{x}+\mathrm{4}+\mathrm{6}=−\mathrm{6}+\mathrm{6} \\ $$$$−\mathrm{3}{x}+\mathrm{10}=\mathrm{0} \\ $$$$−\mathrm{3}{x}+\mathrm{10}−\mathrm{10}=\mathrm{0}−\mathrm{10} \\ $$$$−\mathrm{3}{x}=−\mathrm{10} \\ $$$${x}=\frac{−\mathrm{3}}{−\mathrm{10}} \\ $$$${x}=\frac{\mathrm{3}}{\mathrm{10}} \\ $$$$\mathrm{if}\:\mathrm{this}\:\mathrm{error}\:\mathrm{show}\:\mathrm{the}\:\mathrm{real}\:\mathrm{one} \\ $$
Commented by Rasheed.Sindhi last updated on 05/Dec/24
−3x=−10⇏x=((−3)/(−10))     −3x=−10⇒x=((−10)/(−3))=((10)/3)
$$−\mathrm{3}{x}=−\mathrm{10}\nRightarrow{x}=\frac{−\mathrm{3}}{−\mathrm{10}} \\ $$$$\: \\ $$$$−\mathrm{3}{x}=−\mathrm{10}\Rightarrow{x}=\frac{−\mathrm{10}}{−\mathrm{3}}=\frac{\mathrm{10}}{\mathrm{3}} \\ $$
Commented by MathematicsExpert last updated on 05/Dec/24
Great!
$$\mathrm{Great}! \\ $$

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